Mathematics Question and Solution
Let the square side length be 2 units.
Therefore, r, radius of the circle is;
r = 1 unit.
Calculating the required angle, let it be a.
cosb = 1/2
b = acos(1/2)
b = 60°
c² = 2²+2²
c = √(8)
c = 2√(2) units.
c is a diagonal of the square.
d = ½(c)
d = √(2) units.
e = 45+60
e = 105°
It implies;
f² = √(2)²+1²-2√(2)cos105
f = 1.9318516526 units.
(1.9318516526/sin105) = (1/sinh)
h = 30°
Therefore, the required angle, angle a is;
a = h+45
And h = 30°
It implies;
a = 30+45
a = 75°
